Capture Dynamics and Chaotic Motions in Celestial Mechanics : : With Applications to the Construction of Low Energy Transfers / / Edward Belbruno.
This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Br...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2018] ©2004 |
Year of Publication: | 2018 |
Language: | English |
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Belbruno, Edward, author. aut http://id.loc.gov/vocabulary/relators/aut Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / Edward Belbruno. Princeton, NJ : Princeton University Press, [2018] ©2004 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- List of Figures -- Foreword -- Preface -- Chapter 1. Introduction to the N-Body Problem -- Chapter 2. Bounded Motion, Cantor Sets, and Twist Maps -- Chapter 3. Capture -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbruno used a new route developed from this theory to get a stray Japanese satellite back on course to the moon. This application provided a major verification of his theory, representing the first application of chaos to space travel. Since that time, the theory has been used in other space missions, and NASA is implementing new applications under Belbruno's direction. The use of invariant manifolds to find low energy orbits is another method here addressed. Recent work on estimating weak stability boundaries and related regions has also given mathematical insight into chaotic motion in the three-body problem. Belbruno further considers different capture and escape mechanisms, and resonance transitions. Providing a rigorous theoretical framework that incorporates both recent developments such as Aubrey-Mather theory and established fundamentals like Kolmogorov-Arnold-Moser theory, this book represents an indispensable resource for graduate students and researchers in the disciplines concerned as well as practitioners in fields such as aerospace engineering. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Celestial mechanics. Chaotic behavior in systems. Gravity assist (Astrodynamics). Many-body problem. MATHEMATICS / Applied. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691094809 https://doi.org/10.1515/9780691186436?locatt=mode:legacy https://www.degruyter.com/isbn/9780691186436 Cover https://www.degruyter.com/cover/covers/9780691186436.jpg |
language |
English |
format |
eBook |
author |
Belbruno, Edward, Belbruno, Edward, |
spellingShingle |
Belbruno, Edward, Belbruno, Edward, Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / Frontmatter -- Contents -- List of Figures -- Foreword -- Preface -- Chapter 1. Introduction to the N-Body Problem -- Chapter 2. Bounded Motion, Cantor Sets, and Twist Maps -- Chapter 3. Capture -- Bibliography -- Index |
author_facet |
Belbruno, Edward, Belbruno, Edward, |
author_variant |
e b eb e b eb |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Belbruno, Edward, |
title |
Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / |
title_sub |
With Applications to the Construction of Low Energy Transfers / |
title_full |
Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / Edward Belbruno. |
title_fullStr |
Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / Edward Belbruno. |
title_full_unstemmed |
Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / Edward Belbruno. |
title_auth |
Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / |
title_alt |
Frontmatter -- Contents -- List of Figures -- Foreword -- Preface -- Chapter 1. Introduction to the N-Body Problem -- Chapter 2. Bounded Motion, Cantor Sets, and Twist Maps -- Chapter 3. Capture -- Bibliography -- Index |
title_new |
Capture Dynamics and Chaotic Motions in Celestial Mechanics : |
title_sort |
capture dynamics and chaotic motions in celestial mechanics : with applications to the construction of low energy transfers / |
publisher |
Princeton University Press, |
publishDate |
2018 |
physical |
1 online resource Issued also in print. |
contents |
Frontmatter -- Contents -- List of Figures -- Foreword -- Preface -- Chapter 1. Introduction to the N-Body Problem -- Chapter 2. Bounded Motion, Cantor Sets, and Twist Maps -- Chapter 3. Capture -- Bibliography -- Index |
isbn |
9780691186436 9783110442502 9780691094809 |
callnumber-first |
Q - Science |
callnumber-subject |
QB - Astronomy |
callnumber-label |
QB362 |
callnumber-sort |
QB 3362 M3 |
url |
https://doi.org/10.1515/9780691186436?locatt=mode:legacy https://www.degruyter.com/isbn/9780691186436 https://www.degruyter.com/cover/covers/9780691186436.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
520 - Astronomy |
dewey-ones |
521 - Celestial mechanics |
dewey-full |
521 |
dewey-sort |
3521 |
dewey-raw |
521 |
dewey-search |
521 |
doi_str_mv |
10.1515/9780691186436?locatt=mode:legacy |
oclc_num |
1041853372 |
work_keys_str_mv |
AT belbrunoedward capturedynamicsandchaoticmotionsincelestialmechanicswithapplicationstotheconstructionoflowenergytransfers |
status_str |
n |
ids_txt_mv |
(DE-B1597)501827 (OCoLC)1041853372 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
Capture Dynamics and Chaotic Motions in Celestial Mechanics : With Applications to the Construction of Low Energy Transfers / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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1806143273780117504 |
fullrecord |
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